Unfortunately, that's the other way around: that's your domain which must be allowed by the api.easytemp.ch server.
So you can only do that if you do manage this server.
That depends on the CORS policy defined by the server.
The server might accept regular visitor but forbid AJAX call (that's the case with api.easytemp.ch).
Similarly it could accept image src call, but not iframe call, etc.
Or you can decide to accept AJAX calls from www.easytemp.ch but not any other domain.
You can configure whatever you want in the server vhost.